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pro vyhledávání: '"Watts, Gerard M T"'
We construct an infinite set of conserved tensor currents of rank $2n$, $n=1,2,\dots$, in the two-dimensional theory of free massive fermions, which are bilinear in the fermionic fields. The one-point functions of these currents on the torus depend o
Externí odkaz:
http://arxiv.org/abs/2302.01251
This paper is a follow-up to [arXiv:2001.05055] in which two-dimensional conformal field theories in the presence of spin structures are studied. In the present paper we define four types of CFTs, distinguished by whether they need a spin structure o
Externí odkaz:
http://arxiv.org/abs/2210.01057
Autor:
Downing, Max, Watts, Gerard M. T.
In this paper we consider the modular properties of generalised Gibbs ensembles in the Ising model, realised as a theory of one free massless fermion. The Gibbs ensembles are given by adding chemical potentials to chiral charges corresponding to the
Externí odkaz:
http://arxiv.org/abs/2111.13950
Autor:
Runkel, Ingo, Watts, Gerard M. T.
We study fermionic conformal field theories on surfaces with spin structure in the presence of boundaries, defects, and interfaces. We obtain the relevant crossing relations, taking particular care with parity signs and signs arising from the change
Externí odkaz:
http://arxiv.org/abs/2001.05055
Autor:
Makabe, Isao, Watts, Gerard M T
We consider a class of conformal defects in Virasoro minimal models that have been defined as fixed points of the renormalisation group and calculate the leading contribution to the reflection coefficient for these defects. This requires several stru
Externí odkaz:
http://arxiv.org/abs/1712.07234
Autor:
Makabe, Isao, Watts, Gerard M T
We consider two different conformal field theories with central charge c=7/10. One is the diagonal invariant minimal model in which all fields have integer spins; the other is the local fermionic theory with superconformal symmetry in which fields ca
Externí odkaz:
http://arxiv.org/abs/1703.09148
Akademický článek
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Autor:
Iles, Nicholas J., Watts, Gérard M. T.
Publikováno v:
JHEP01(2016)089
In a previous work, exact formulae and differential equations were found for traces of powers of the zero mode in the W3 algebra. In this paper we investigate their modular properties, in particular we find the exact result for the modular transforma
Externí odkaz:
http://arxiv.org/abs/1411.4039
Autor:
Iles, Nicholas J., Watts, Gérard M. T.
Publikováno v:
JHEP (2014) 02, 9
Traces of powers of the zero mode in the W3 Algebra have recently been found to be of interest, for example in relation to Black Hole thermodynamics, and arise as the terms in an expansion of the full characters of the algebra. We calculate the first
Externí odkaz:
http://arxiv.org/abs/1307.3771
Publikováno v:
JHEP 0911:057,2009
In this paper we study a simple example of a two-parameter space of renormalisation group flows of defects in Virasoro minimal models. We use a combination of exact results, perturbation theory and the truncated conformal space approach to search for
Externí odkaz:
http://arxiv.org/abs/0907.1497